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Finding the Fourth Proportional to 284.88, 392.64 and 211.44

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Solution

The fourth proportional to 284.88, 392.64 and 211.44 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 392.64 = 211.44 : x
  2. Step 2: Convert to fraction form
    284.88/392.64 = 211.44/x
  3. Step 3: Cross multiply
    284.88x = 392.64 × 211.44
  4. Step 4: Simplify right side
    284.88x = 83,019.80
  5. Step 5: Solve for x
    x = 83,019.80/284.88
  6. Step 6: Final answer
    x = 291.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.